Advertisements
Advertisements
प्रश्न
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
पर्याय
`sqrt(2)`
2
4
8
Advertisements
उत्तर
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to 2.
Explanation:
`(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12)) = (sqrt(16 xx 2) + sqrt(16 xx 3))/(sqrt(4 xx 2) + sqrt(4 xx 3))`
= `(4sqrt(2) + 4sqrt(3))/(2sqrt(2) + 2sqrt(3))`
= `(4(sqrt(2) + sqrt(3)))/(2(sqrt(2) + sqrt(3))`
= 2
APPEARS IN
संबंधित प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Rationalise the denominator of each of the following
`1/sqrt12`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`(sqrt10 + sqrt15)/sqrt2`
`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
Simplify:
`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
If `x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))` and `y = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2))`, then find the value of x2 + y2.
